Question

In ΔABC and ΔDEF, if ∠B = ∠E, ∠F = ∠C and AB = 3DE. Then, the two triangles are ________ but not ________.

Answer 1

In ΔABC and ΔDEF,

∠B = ∠E (Given)

∠C = ∠F (Given)

∴ ΔABC $~$ ΔDEF (AA Similarity)

Since AB = 3DE, so the two corresponding sides of the given triangles are not equal. Thus, ΔABC and ΔDEF are not congruent.

In ΔABC and ΔDEF, if ∠B = ∠E, ∠F = ∠C and AB = 3DE. Then, the two triangles are _similar_ but not _congruent_.